Question #1 -Let the revenue of a refrigerator be given by the equation R(x)=280x-0.4x² x = number of refrigerators sold The cost of producing and shipping the refrigerators is given by the equation C(x)=5000+0.6x²

Q: hat is the 7th term of the sequence an(-1)³"(n-10),

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Q: Evaluate the double integral (2x - y) dA, where R is the region in the first quadrant R enclosed by…

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Q: Consider the function f(x) = x 2 − 1. Find the equation of the tangent to the graph of f(x) at x =…

A: Given: fx = x2-1 To find: Equation of tangent to the graph of f(x) at x=3

Q: *30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

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Q: Consider the following definite integral. r3π/2 2 (t³ + sin(t)) dt Jπ/2 (a) Evaluate it "by hand,"…

A: ∫xndx=xn+1n+1+c ∫sinxdx= - cos x+c

Q: Approximate the area under the curve graphed below from = 1 to x = 5 using a Left Endpoint…

A: To approximate the area under the curve graphed below from x=1 to x=5 using a Left Endpoint…

Q: Solve: logs PI 1 125 (Enter as an integer or as a reduced fraction.) A= B= =t The polynomial 49¹4…

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Q: Rewrite the equation in exponential form. In (x) = n

A: We are required to: Rewrite the equation ln(x)=n in exponential form.

Q: r² Find the volume of the solid obtained by rotating the region under the graph of the function f(x)…

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Q: Find the exact values of the five trigonometric ratios not given. √√3 3 2) cot 0=- and cos > 0

A: Since you have posted multiple questions i can do first question as per our company guidelines.…

Q: X 0 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: The angle of elevation of the camera is given by: θ=tan-1x2000 Using the Pythagorean theorem:…

Q: (a) Evaluate the given line integral directly. (b) Evaluate the given line integral by using Green's…

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Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

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Q: Q4. The half-life of mass of 500 mg: Plutonium-210 is 140 days. Suppose that a sample of this…

A: The half-life of Plutonium-210 is 140 days. Suppose that a sample of this substance  has a mass of…

Q: $ 4 -1 -2 -5 S 4 5 The graph above shows the base of an object. Compute the exact value of the…

A: From the given figure

Q: O None of these.

A: Inverse Laplace transformation

Q: The Maclaurin series of the function f(x) = 2x²e-5x can be written as f(x) спосп C1 where the first…

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Q: Given the function P(z) - (x-2)(z-6), find its y-intercept is its z-intercepts are ₁ = When z→→∞o, y…

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Q: Problem 10 Evaluate the limit below. If the limit does not exist, then write DNE. 2x³ - x²y-3y³ 2x³…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: valuate S 1 (4- x)2/5 da correct to 3 decimal places.

A: Explanation of the answer is as follows

Q: find the parametric equations for a sphere with a radius of 4 and a center at (3,-2,5)

A: According to guidelines we have to solve only first one question.

Q: Find the reference angle 0' for the given angle 0. 0 = 312°

A: The angle is given by θ = 312° For this angle terminal side is in fourth quadrant. To determine: The…

Q: Find the general solution for the given non- homogeneous equation by using method of Undetermined…

A: The given differential equation is;  d2y/dx2 -4y = x+2-3e-2x. Solve by method of undetermined…

Q: Consider the curve defined by cos(x^2)y + (y^3) = 10. a) Find dy/dx b) Find the equation of the…

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Q: Given f(x, y) = sin(x+y) where x = s5t4, y = 5s - 4t. Find f.(x(s, t), y(s, t)) = | f(x(s, t), y(s,…

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Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

A: fx=14-x

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs ax = y² and x =…

A: To find the volume of the solid obtained by rotating the region enclosed  by the graphs x=y2 and…

Q: [ 4xex dx

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Q: -5 -4 -3 4 The above is the graph of the derivative f '(x). How many critical points does the…

A: We know that critical point 'x' of any function f(x) is where the derivative of f(x) which is f'(x)…

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

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Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship…

A: ship A is 50 nautical miles west of ship B ship A is salling west at 23 knots =23 nautical mile/hr…

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Determine whether the series converges or diverges. 8n n² + 1 The series converges. O The series…

A: To determine whether the following series converges or diverges. ∑n=1∞ 8nn2+1 To determine the…

Q: Find the scalar and vector projections of b onto a. a = (-1, 4, 8), b = (18, 2, 1) scalar projection…

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Q: Question #3 - Find the First Derivative Test to find the relative extrema and the intervals where…

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Q: (6) Change the following integral to cylindrical coordinates. Do not evaluate the integral L 1-7²…

A: ∫-11∫-1-x21-x2∫x2+y22-14-4x2+y2x2+y2+1dzdxdy

Q: what does the following integral equal? 10 √ [4f(x) + 69(x) — h(x)]dx = [ -77 -10 T f(x) dx = 14 77…

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Q: Suppose that f(x, y) = x² - xy + y² - 2x + 2y, with domain D constrained by the lines y = x, y = 0,…

A: fx,y=x2-xy+y2-2x+2y

Q: Evaluate fxy³dx + x²dy, where C' is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A: Evaluate ∮xy5dx+x2dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

Q: Calculate the double integral over SS, (x² + 2y)dA, D is bounded by y = x, y = x³, x ≥ 0

A: ∬Dx2+2ydA ,D is bounded by y=x,y=x3,x≥0 Graph

Q: Q9 Integrate the following: (a) √5x(x²-3x + 1)dx (b) f(12e4x -+2) dx

A: Important formula to answer the questions÷ ∫xndx=xn+1n+1+c ∫1xdx=lnx+c ∫eaxdx=eaxa+c

Q: 2 Question 2.3a. Let Z1 = 1 and 22 Find the real part of 2₁ - 22. 0 - 2 1²/i.

A: NOTE: Refresh your page if you can't see any equations. . given complex numbers are

Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

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Q: Calculate the area of the surface generated by rotating the parametric curve c(t) = (t², 3t) about…

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: Find the area of the region enclosed by y = 3x and x = 3-y². Use horizontal strips to find the area,…

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Q: -In ( + C) = n u' (x) = e6x-5u

A: Use seperate the variable

Q: Find the distance between the given points. (-6, -4, 5), (3, 2, 1)

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Q: Fill in each box below with an integer or a reduced fraction. (a) log₂ 8 = 3 can be written in the…

A: To fill in each box with an integer or a reduced fraction. (a) log2 8=3 can be written in the form…